Initial value problems for nonlinear dispersive equations at critical regularity
type: Item
instance of: scholarly article
title: Initial value problems for nonlinear dispersive equations at critical regularity
zbMATH Open document ID: 1446.35182
DOI: 10.4171/197-1/7
author: Sebastian Herr
publication date: 2020-07-09T00:00:00Z
review text: Summary: Global regularity results for nonlinear dispersive equations hinge on a thorough understanding of the Cauchy problem in spaces of functions of low regularity. This is most challenging in scale invariant regimes as solutions interact strongly on multiple frequency-scales. Here, some recent progress on the critical well-posedness theory will be reviewed, with a focus on nonlinear Schrödinger and Dirac equations. For the entire collection see [Zbl 1416.60012].
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7219044
zbMATH Keywords: nonlinear Schrödinger
zbMATH Keywords: Dirac equations
zbMATH Keywords: regularity
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/197-1/7
OpenAlex ID: W2951146779
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description: scientific article; zbMATH DE number 7219044